10129936542 has 32 divisors (see below), whose sum is σ = 22404453120. Its totient is φ = 3027625920.

The previous prime is 10129936511. The next prime is 10129936549. The reversal of 10129936542 is 24563992101.

10129936542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10129936542² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10129936494 and 10129936503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10129936549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1046442 + ... + 1056077.

It is an arithmetic number, because the mean of its divisors is an integer number (700139160).

Almost surely, 2^10129936542 is an apocalyptic number.

10129936542 is an abundant number, since it is smaller than the sum of its proper divisors (12274516578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10129936542 is a wasteful number, since it uses less digits than its factorization.

10129936542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102608.

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 10129936542 in words is "ten billion, one hundred twenty-nine million, nine hundred thirty-six thousand, five hundred forty-two".